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arXiv · gr-qc/9805023

Initial Data and Coordinates for Multiple Black Hole Systems

Richard A. Matzner·Mijan F. Huq·Deirdre Shoemaker
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Abstract

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme preserves the Kerr-Schild form near the holes, it selects out the behaviour of null rays near the holes, may simplify horizon tracking, and may prove useful in computational applications. For computational evolution, a discussion of coordinates (lapse function and shift vector) is given which preserves some of the properties of the single-hole Kerr-Schild form.

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Richard A. Matzner, Mijan F. Huq, Deirdre Shoemaker. 1998-05-07. Initial Data and Coordinates for Multiple Black Hole Systems. https://doi.org/10.1103/physrevd.59.024015

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